Unfortunately, this process cannot be organized, or so I think. It's an evolutional process and will continue by its own laws. It's up to us, however, to decide how much of our local cultural heritage will be incorporated into this 'world' culture.

What concerns the language, I think that English is the most probable candidate for 'universal language'. It's not decided by overall number of speakers (there are more people speaking Chinese, for example, but it's unlikely that Chinese will become universal). Any artificial language will also fail (why learn an artificial language if we've got many 'natural' ones). Even the English language will be changed in the end (even though it's the most probable candidate for 'universal language').
I think that in the end there will be a phonetic alphabet with latin letters based on English (Native English speakers are not that numerous compared to Spanish or Chinese and since everybody learn English now, but not all do it properly, there are no doubts that the language will be changed. (You can visit any international forum, by the way, where one can find people from all parts of the world, but the rules say that 'all posts are to be made in English'. You will see how English gets transformed by this 'fresh blood' into something new).